Yasmin has a bag containing 165 colored beads. her classmates take turns selecting one bead from the bag without looking, recording the color in the table, and replacing the bead. if the bag contained an equal number of each color of bead, for which color is the experimental probability closest to the theoretical probability?

Answer:

2/81

Step-by-step explanation:

let ? be A,

A×81/2=1

A=1×2/81

A=2/81

The required simplified value of x, y,  and z is 2, 2, and 2.

Given that,
The system of the equation is given
4x - 2y +z = 6,
-2x + y = -4,
3y - 2z = 4
And also x= y= z

In mathematics, it deals with numbers of operations according to the statements. There are four major arithmetic operators, addition, subtraction, multiplication and division,

The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.

Here,
Since, x = y = x
taking any one equation
4x - 2y +z = 6
Now,
4x - 2x + x = 6
3x = 6
x = 2

Thus, the required simplified value of x, y,  and z is 2, 2, and 2.

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Answer:

3(9) =c

Step-by-step explanation:

Answer:

3(c)=total cost

Step-by-step explanation:

If 3 shirts = $9

then 1 shirt = $3

c shirts= $3(c)

Answer:

4

Step-by-step explanation:

99/9 is 11 so to get what the missing number is divide 44 by 11 to get 4

The equation will be changed into = f(x)= 32

What is a "Simple Equation"?

The link between two expressions on either side of the sign is represented by a mathematical equation.

                             One variable and an equal sign are typically present. Like this: 2x - 4 Equals 2.

We have LHS = RHS (left hand side = right hand side) in every mathematical equation.

To determine the value of an unknown variable that represents an unknown quantity, equations can be solved.

 the function f (x) = 2(4)

                       f(x)= 32

A statement is not an equation if it has no "equal to" sign.

A mathematical statement called an equation includes the sign "equal to" between two expressions with equal values.

Hence, The equation will be changed into = f(x)= 32

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Answer:

Yes

Step-by-step explanation:

Triangle Inequality Theorem: Sum of two side lengths of a triangle is always greater than the third side.

Thus,

7 + 15 = 22

22 > 15

The sum of two sides lengths of a triangle is greater than the third side.

Hence, Your answer is Yes.

~Lenvy~

a) 58^-8 is the same as 1/58^8. we can also simplify the expression by applying the rule for negative exponents to the entire fraction.

To evaluate this expression, we can use the rule that any number raised to a negative exponent is equal to the reciprocal of the same number raised to the same positive exponent. In other words, x^-n = 1/x^n.

Applying this rule to the expression 1/58^8, we get:

1/58^8 = 1/(58^8) = 58^-8

Therefore, the correct answer is 58^-8.

It is important to note that the exponentiation operator (^) has higher precedence than the division operator (/), so we need to use parentheses to indicate that the exponent should be applied to the entire denominator before the division is performed. In this case, we can also simplify the expression by applying the rule for negative exponents to the entire fraction:

1/58^8 = (1/58)^8 = 58^-8

This simplification shows that the correct answer is still 58^-8.

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Answer:

... ... = .5

Step-by-step explanation:

I'm not sure if I'm right. But I got my answer by dividing 255 and 2 first

255 / 2 = 112.5

Then find out what 64 + 32 + 16.

64 + 32 + 16 = 112

Add 0.5 to get the same answer from 255 / 2

64 + 32 + 16 + 0.5 = 112.5

The solutions to the equation sec θ = 2 for 0 ≤ θ < 2π are θ = π/3 and θ = 5π/3.

To solve the equation sec θ = 2 for 0 ≤ θ < 2π, we need to find the values of θ that satisfy this equation.

Step 1: Recall that sec θ is the reciprocal of cos θ. Therefore, we can rewrite the equation as 1/cos θ = 2.

Step 2: To eliminate the fraction, we can multiply both sides of the equation by cos θ. This gives us 1 = 2cos θ.

Step 3: Divide both sides of the equation by 2 to isolate cos θ. We get 1/2 = cos θ.

Step 4: Now, we need to find the values of θ that make cos θ equal to 1/2. Since we are looking for solutions in the range 0 ≤ θ < 2π, we can use the unit circle or trigonometric ratios to find these values.

Step 5: From the unit circle or trigonometric ratios, we know that cos θ = 1/2 for θ = π/3 and θ = 5π/3.

Therefore, the solutions to the equation sec θ = 2 for 0 ≤ θ < 2π are θ = π/3 and θ = 5π/3.

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Answer:

400 sixes

Step-by-step explanation:

Find how many sixes you could expect to roll by multiplying 500 by 4/5:

500(4/5)

= 400

So, you would expect to roll 400 sixes

Hello! :)

\(\large\boxed{x = 14, 26}\)

Let one number be equal to x.

Since the other is 12 more, we can express this as x + 12.

Write an expression showing the sum of these two numbers equal to 40:

x + (x + 12) = 40

Combine like terms:

2x + 12 = 40

Subtract 12 from both sides:

2x = 28

Divide both sides by 2:

x = 14

This is the value of one of the numbers. Since the other number is "x + 12", we can solve for this value:

14 + 12 = 26.

The two numbers are 14 and 26.

Answer:

6 bags

Step-by-step explanation:

The question simply asks you to divide 4 pounds by 2/3 pounds

4÷2/3

To divide, change the division sign to multiplication and reciprocate (flip) the number after the sign

4 x 3/2 = 6

6

Answer:

75 and 75

Step-by-step explanation:

Answer:

Hello,

Step-by-step explanation:

2 solutions:

The probability If no letter can be used twice, 32292000 ways different pass word options are there .

What is probability?

 Mathematical branch known as probability deals with determining the possibility of an event occurring. Probability refers to potential. A random event's occurrence is the subject of this area of mathematics. The range of the value is 0 to 1. The possibility of the result of any random event is known as probability. This phrase refers to determining the likelihood that any given event will occur.

Here a password contains 4 letters followed by 2 numbers.

Total number of alphabets = 26

If without repetition the words can be arranged as,

=> 26*25*24*23

Total numbers = 0 to 9 = 10

if without repetition the numbers can be arranged as ,

=> 10 * 9

If no letter can be used twice, number of  different pass word options are,

=> 26*25*24*23*10*9=32292000

Therefore there are 32292000 ways different password options available.

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Three out of six questions that you can ask about the statistical validity of a bivariate correlation are: All the statistical validity questions do not apply in the same way when bivariate correlations are represented as bar graphs because statistical validity questions address issues of internal validity (causality) rather than issues of external validity (generalizability).

Statistical validity questions are concerned with establishing whether the relationship between the two variables is likely to be a true relationship or just a chance occurrence. Statistical validity can be assessed by determining whether the correlation coefficient is statistically significant (i.e., whether the relationship observed is likely to be a true relationship or just a chance occurrence) and the strength of the correlation.

Statistical significance testing requires a large sample size, and as a result, the correlation coefficient may be statistically significant even if the effect size is small. Therefore, it is important to consider both statistical significance and effect size when evaluating the statistical validity of a bivariate correlation.

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Given:

The height of the girl is 5 ft and the length of the shadow is 2 ft., at the same time the shadow of the building is 50 ft .

Required:

To find the height of the building.

Explanation:

Let the height of the building is h ft.

Since triangle ABC is similar to the triangle DEF.

Thus by using the similarity condition.

Final Answer:

Thus the third option is the correct answer.

The rate of increase in the area of the square is 70 cm²/s when the area of the square is 25 cm².

Each side of a square is increasing at a rate of 7 cm/s. The area of the square is 25 cm².

The area of the square is given by A = a²

Where A is the area of the square and a is the length of the side of the square.

Differentiate both sides of the equation with respect to time we get:

dA/dt = 2a.da/dt

Substitute a = √A in the above equation to get:

dA/dt = 2√A.da/dt

Substitute A = 25 and da/dt = 7 in the equation dA/dt = 2√A.da/dt to get:

dA/dt = 2 x √25 x 7

dA/dt = 2 x 5 x 7

dA/dt = 70 cm²/s

Therefore, the rate of increase in the area of the square is 70 cm²/s.

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when we reflect a point (p, q) over the y-axis the y-coordinate stays the same but the x-coordinate changes signs so the image is (-p, q).

Reflect a point

A reflection point occurs when a figure is constructed around a single point known as the point of reflection or center of the figure.

coordinates

it is usually a pair of numbers: the first number shows the distance along, and the second number shows the distance up or down.

image of point

The  image of the point about the line y=x can be obtained by interchanging the x-coordinate and y-coordinate of the point.

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Answer:

1

Step-by-step explanation:

7/8 is closer 1 one then 0 because 7/8 is 1/8 away from 8/8 and 8/8s equals 1

The simplification form of the provided expression is g . 6² . p⁴ option (B) g . 6² . p⁴ is correct.

In mathematics, integer exponents are exponents that should be integers. It may be a positive or negative number. In this situation, the positive integer exponents determine the number of times the base number should be multiplied by itself.

It is given that:

The expression:

\(= \rm \dfrac{(g^3)(6^3)(p^7)}{(6)(g^2)(p^2)(p)}\)

After using the properties of integer exponent:

\(\rm =\dfrac{g^3\cdot \:6^2p^7}{g^2p^2p}\)

\(\rm =\dfrac{g\cdot \:6^2p^5}{p}\)

= g . 6² . p⁴

Thus, the simplification form of the provided expression is g . 6² . p⁴ option (B) g . 6² . p⁴ is correct.

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Answer:

B = 55% - 35%

= 20%

C = 65% - 35%

Remaining % is of neither B nor C

A function f such that f '(x) = 3x^3 and the line 81x + y = 0 is tangent to the graph of f is f(x) = 3x^4/4 + 729/4.

In the given question, we have to find a function f such that f'(x) = 3x^3 and the line 81x + y = 0 is tangent to the graph of f.

The given function is f'(x) = 3x^3.

No integrating on both side,

f(x) = \(\int3x^3dx\) + C

f(x) = 3x^4/4 + C

As given, the line 81x + y = 0 is tangent to the graph of f.

So, slope at point of tangent; f'(x) = -81

So, 3x^3 = -81

Divide by 3 on both side, we get

x^3 = -27

Taking cube root on both side, we get

x = -3

So putting the value of x in 81x + y = 0, we get

y = 243

Thus, f(x) passes through (-3, 243).

So, 243 = 3/4(81) + C

Multiply by 4 on both side, we get

972 = 243 + 4C

Subtract 243 on both side, we get

4C = 729

Divide by 4 on both side, we get

C = 729/4

So, f(x) = 3x^4/4 + 729/4

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Answer:

-10

Step-by-step explanation:

5(2) or fives times two is positive ten. The rule about multiplying with negatives is a negative times a positive is a negative. We take the multiplication answer from 5(2)=10 and apple the nagative from 5(-2). Hope this helps:)

Answer:

Janice travelled 6 miles.

Step-by-step explanation:

23 -5=18

18/3=6

so Janice travelled 6 miles.

An inverse-square central force field is  \(mx^{''} = -\frac{kx}{r^3}\\ \\mx^{''} = -\frac{ky}{r^3}\\\).

From Newton's second law of motion,

mass × acceleration = Force acting on the mass

Resolving the force F along x and y directions and applying Newton's second law of motion,

Using,

\(r = \sqrt{x^2+y^2}\)

​

Therefore,

\(m\frac{d^2x}{dt^2} =-|F|cos \theta\)

\(mx^{''} = -\frac{k}{x^2+y^2} \frac{x}{\sqrt{x^2+y^2} } \\\\mx^{''} = - \frac{kx}{(x^2+y^2)^\frac{3}{2} }\\ \\mx^{''} = - \frac{kx}{r^3}\)

Where \(r = \sqrt{x^2+y^2}\)

​ and cos⁡θ = \(\frac{x}{\sqrt{x^2+y^2} }\)

Similarly using,

\(r = \sqrt{x^2+y^2}\)

we get,

 \(m\frac{d^2y}{dt^2} = -|F|sin\theta\)

\(mx^{''} = -\frac{k}{x^2+y^2} \frac{x}{\sqrt{x^2+y^2} } \\\\mx^{''} = - \frac{kx}{(x^2+y^2)^\frac{3}{2} }\\ \\mx^{''} = - \frac{kx}{r^3}\)

Where \(r = \sqrt{x^2+y^2}\)

​ and sinθ = \(\frac{y}{\sqrt{x^2+y^2} }\)

Therefore we showed that holds

\(mx^{''} = -\frac{kx}{r^3}\\ \\mx^{''} = -\frac{ky}{r^3}\\\)

Hence the answer is an inverse-square central force field is  \(mx^{''} = -\frac{kx}{r^3}\\ \\mx^{''} = -\frac{ky}{r^3}\\\).

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Answer:

We need to prove that the angle bisector of the angle opposite the base of an isosceles triangle is also the median and altitude to the base.

Let's consider an isosceles triangle ABC where AB = AC. We draw the altitude from A to BC and call the point where it intersects BC as D.

Now, we need to prove that AD is the angle bisector, median, and altitude to the base BC.

To prove AD is the angle bisector:

We need to prove that the angle ADB and ADC are equal. We know that angle ABD and angle ACD are right angles because BD and CD are altitudes. We also know that AB = AC because the triangle is isosceles. Therefore, the triangles ABD and ACD are congruent by the hypotenuse-leg (HL) criterion.

Thus, angle ADB = angle ADC, which means that AD is the angle bisector of angle BAC.

To prove AD is the median:

We need to prove that BD = CD. Since AB = AC and AD is perpendicular to BC, triangles ABD and ACD are congruent by the hypotenuse-leg (HL) criterion. Therefore, BD = CD, which means that AD is also the median to the base.

To prove AD is the altitude:

We need to prove that angle BAD and angle CAD are right angles. This is true because AD is perpendicular to BC, and BD and CD are also perpendicular to BC. Therefore, AD is also the altitude to the base BC.

Hence, we have proved that the angle bisector of the angle opposite the base of an isosceles triangle is also the median and altitude to the base.

The integral of (sin 2u * cos 2(t-u) du) is:

∫(sin(2u) * cos(2(t-u))) du = -(1/8) * cos(4u) * cos(2t) + (1/2) * cos(2t) * C1 + (1/2) * sin(2t) * u - (1/8) * sin(4u) * sin(2t) + (1/2) * sin(2t) * C2 + C

To integrate the expression ∫(sin(2u) * cos(2(t-u))) du, we can apply the integration by substitution method.

Let's go through the steps:

1. Expand the expression: cos(2(t-u)) = cos(2t - 2u) = cos(2t) * cos(2u) + sin(2t) * sin(2u).

The integral becomes: ∫(sin(2u) * (cos(2t) * cos(2u) + sin(2t) * sin(2u))) du.

2. Distribute the terms: ∫(sin(2u) * cos(2t) * cos(2u) + sin(2u) * sin(2t) * sin(2u))) du.

3. Split the integral: ∫(sin(2u) * cos(2t) * cos(2u)) du + ∫(sin(2u) * sin(2t) * sin(2u))) du.

4. Integrate each term separately:

- For the first term, integrate cos(2t) * cos(2u) with respect to u:

    ∫(cos(2t) * cos(2u) * sin(2u)) du = cos(2t) * ∫(cos(2u) * sin(2u)) du.

- For the second term, integrate sin(2u) * sin(2t) * sin(2u) with respect to u:

    ∫(sin(2u) * sin(2t) * sin(2u)) du = sin(2t) * ∫(sin^2(2u)) du.

5. Apply trigonometric identities to simplify the integrals:

- For the first term, use the identity: cos(2u) * sin(2u) = (1/2) * sin(4u).

    ∫(cos(2u) * sin(2u)) du = (1/2) * ∫(sin(4u)) du.

- For the second term, use the identity: sin^2(2u) = (1/2) * (1 - cos(4u)).

    ∫(sin^2(2u)) du = (1/2) * ∫(1 - cos(4u)) du.

6. Now we have simplified the integrals:

- First term: (1/2) * cos(2t) * ∫(sin(4u)) du.

- Second term: (1/2) * sin(2t) * ∫(1 - cos(4u)) du.

7. Integrate each term using the substitution method:

- For the first term, let's substitute v = 4u, which gives dv = 4 du:

    ∫(sin(4u)) du = (1/4) ∫(sin(v)) dv = -(1/4) * cos(v) + C1,

    where C1 is the constant of integration.

- For the second term, the integral of 1 with respect to u is simply u, and the integral of cos(4u) with respect to u is (1/4) * sin(4u):

    ∫(1 - cos(4u)) du = u - (1/4) * sin(4u) + C2,

    where C2 is the constant of integration.

8. Substitute back the original variables:

- First term: (1/2) * cos(2t) * (-(1/4) * cos(4u) + C1) = -(1/8) * cos(4u) * cos(2t) + (1/2) * cos(2t) * C1.

- Second term: (1/2) * sin(2t) * (u - (1/4) * sin(4u) + C2) = (1/2) * sin(2t) * u - (1/8) * sin(4u) * sin(2t) + (1/2) * sin(2t) * C2.

9. Finally, we have the integral of the original expression:

∫(sin(2u) * cos(2(t-u))) du = -(1/8) * cos(4u) * cos(2t) + (1/2) * cos(2t) * C1 + (1/2) * sin(2t) * u - (1/8) * sin(4u) * sin(2t) + (1/2) * sin(2t) * C2 + C,

  where C is the constant of integration.

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The coefficient of x⁷ in the given expression is 16.

Expressions are mathematical statements which consist of two or more terms and terms are connected to each other using mathematical operators like addition, multiplication, subtraction and so on.

Given is the expression [x³ + (4 / x²)]⁴.

[x³ + (4 / x²)]⁴ =  (x³ + 4x⁻²)⁴

                      = (x³ + 4x⁻²)² (x³ + 4x⁻²)²

                      = (x⁶ + 8x + 16x⁻⁴) (x⁶ + 8x + 16x⁻⁴)  

                      = x¹² + 8x⁷ + 16x² + 8x⁷ + 64x² + 128x⁻³ + 16x² + 128x⁻³ +

                         256x⁻⁸

Rearranging with like terms, we get,

                      = x¹² + 16x⁷ + 96x² + 256x⁻³ + 256x⁻⁸

Hence the coefficient of x⁷ is 16.

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Q1) The term logistics involves the process of planning, executing, and controlling the storage and movement of goods. Logistics includes activities such as warehousing, transportation, and distribution to meet customer requirements.

Q2) Outsourcing is a business practice of contracting out certain business activities or processes to external parties or individuals instead of conducting them in-house.

Logistics deals with the physical flow of goods from the point of origin to the point of consumption.In contrast, Supply Chain Management (SCM) encompasses all activities associated with the production and delivery of goods.

SCM is concerned with the management of all business activities that are related to procuring, transforming, and delivering products or services from suppliers to customers. SCM includes activities such as procurement, manufacturing, transportation, inventory management, and warehousing.

Q2) Outsourcing enables businesses to focus on their core competencies while external parties perform non-core activities.A logistics company, for example, might outsource its payroll and accounting functions to an external company, while another company outsources its warehousing, transportation, or distribution functions to a third-party logistics provider (3PL).

An example of outsourcing in logistics could be a company that outsources its transportation to a third-party logistics provider to transport goods from one location to another.

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Answer:

D

Step-by-step explanation:

Somehting bknbye3uehnfhnjun Español uno, como sulfhídrica